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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 8 and fixed z and a>0 > For fixed z and a=43/8, b>=a > For fixed z and a=43/8, b=45/8





http://functions.wolfram.com/07.23.03.cdtf.01









  


  










Input Form





Hypergeometric2F1[43/8, 45/8, -(9/2), z] == -((1/(7691264 (1 - z)^(31/2))) (Sqrt[1 - z] (-7691264 + 169207808 z - 1940863860 z^2 + 16459657977 z^3 - 134295666015 z^4 + 1954286932269 z^5 + 14530669687901 z^6 + 20218023810955 z^7 + 8169445755459 z^8 + 889560536207 z^9 + 14473166323 z^10) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (-5768448 + 127747088 z - 1473629229 z^2 + 12545833608 z^3 - 102397312780 z^4 + 4666507383576 z^5 + 21510586810386 z^6 + 24838156671416 z^7 + 9017686555572 z^8 + 919585254168 z^9 + 14473166323 z^10) Sin[(3 ArcSin[Sqrt[z]])/4]))










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02